Question

what is the length of the diagonal, rounded to the nearest tenth of a centimeter? enter your answers in the box. the length of the diagonal is centimeters.

Explanation:

Step1: Apply Pythagorean theorem

Let the diagonal length be \(d\). Using the formula \(d = \sqrt{l^{2}+h^{2}}\) (where \(l = 6\) cm and \(h=10.2\) cm).

$$d=\sqrt{6^{2}+10.2^{2}}$$

Step2: Calculate the squares

\(6^{2}=36\) and \(10.2^{2}=104.04\)

$$d=\sqrt{36 + 104.04}=\sqrt{140.04}$$

Step3: Find the square - root

\(\sqrt{140.04}\approx11.8\)

Answer:

\(11.8\)